This study book by Randall J. LeVeque provides a clear introduction to hyperbolic partial differential equations and the numerical methods for solving them. It focuses on both linear problems and nonlinear conservation laws, and highlights the application of methods for wave propagation and finite volume techniques.
Description
This book covers the theoretical background and practical approaches to hyperbolic partial differential equations. It explains how numerical methods for solving these equations work, with an emphasis on Godunov-like methods and the use of Riemann problems to analyze local wave structures. The methods are suitable for accurately capturing shock waves and studying linear wave phenomena, including in heterogeneous materials. The techniques covered are implemented in the CLAWPACK software package, whose source code and animations are available. This makes the book a practical learning tool for understanding numerical methods for wave phenomena.
Product information
- Author: Randall J. LeVeque (University of Washington)
- Series: Cambridge Texts in Applied Mathematics
- Publisher: Cambridge University Press
- Format: Trade paperback (US)
- Publication date: 2002-08-26
- Number of pages: 580
- ISBN: 9780521009249
- Subject: Numerical analysis
- BISAC: MATHEMATICS / Numerical Analysis